3 citations · 7 across the 20 of their papers we have counts for
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DS and AMDS Symbol-Pair Codes from Three Families of Simple Root Cyclic Codes
Jiawei He, Zihan Zhang, Xiaoqiang Wang +1
Symbol-pair distances of simple-root cyclic codes are important for evaluating error correction performance under overlapping pair read channels. In this paper, we construct three…
Solutions to Three Conjectures and an Open Problem on Binary BCH Codes
Xiaoqiang Wang, Jiawei He, Boru Yi +1
BCH codes are among the most important classes of cyclic codes and have played a central role in coding theory and its applications. One of the fundamental problems in the study of…
Four constructions of self-dual binary cyclic codes with a lower bound on the minimum distances better than the square-root bound
Xiaoqiang Wang, Xun Song, Dabin Zheng +2
In spite of the intensive study of cyclic codes and the recent construction of an infinite family of self-dual binary cyclic codes whose minimum distances have the square-root boun…
The weight hierarchies of three classes of linear codes
Wei Lu, Qingyao Wang, Xiaoqiang Wang +1
Studying the generalized Hamming weights of linear codes is a significant research area within coding theory, as it provides valuable structural information about the codes and pla…
A new class of self-orthogonal linear codes and their applications
Yaozong Zhang, Dabin Zheng, Xiaoqiang Wang
Self-orthogonal codes are a subclass of linear codes that are contained within their dual codes. Since self-orthogonal codes are widely used in quantum codes, lattice theory and li…
The Weight Hierarchies of Linear Codes from Simplicial Complexes
Chao Liu, Dabin Zheng, Wei Lu +1
The study of the generalized Hamming weight of linear codes is a significant research topic in coding theory as it conveys the structural information of the codes and determines th…
Two classes of reducible cyclic codes with large minimum symbol-pair distances
Xiaoqiang Wang, Yue Su, Dabin Zheng +1
The high-density data storage technology aims to design high-capacity storage at a relatively low cost. In order to achieve this goal, symbol-pair codes were proposed by Cassuto an…
Generalized Hamming Weights of Linear Codes from Quadratic Forms over Finite Fields of Even Characteristic
Chao Liu, Dabin Zheng, Xiaoqiang Wang
The generalized Hamming weight of linear codes is a natural generalization of the minimum Hamming distance. They convey the structural information of a linear code and determine it…
Two classes of narrow-sense BCH codes and their duals
Xiaoqiang Wang, Jiaojiao Wang, Chengju Li +1
BCH codes and their dual codes are two special subclasses of cyclic codes and are the best linear codes in many cases. A lot of progress on the study of BCH cyclic codes has been m…
Two Classes of Constacyclic Codes with Variable Parameters
Zhonghua Sun, Cunsheng Ding, Xiaoqiang Wang
Constacyclic codes over finite fields are a family of linear codes and contain cyclic codes as a subclass. Constacyclic codes are related to many areas of mathematics and outperfor…
Infinite families of cyclic and negacyclic codes supporting 3-designs
Xiaoqiang Wang, Chunming Tang, Cunsheng Ding
Interplay between coding theory and combinatorial -designs has been a hot topic for many years for combinatorialists and coding theorists. Some infinite families of cyclic codes…
Two families of negacyclic BCH codes
Xiaoqiang Wang, Zhonghua Sun, Cunsheng Ding
Negacyclic BCH codes are a subclass of neagcyclic codes and are the best linear codes in many cases. However, there have been very few results on negacyclic BCH codes. Let be a…
Several Families of Irreducible Constacyclic and Cyclic Codes
Zhonghua Sun, Xiaoqiang Wang, Cunsheng Ding
In this paper, several families of irreducible constacyclic codes over finite fields and their duals are studied. The weight distributions of these irreducible constacyclic codes a…
Strict Half-Singleton Bound, Strict Direct Upper Bound for Linear Insertion-Deletion Codes and Optimal Codes
Qinqin Ji, Dabin Zheng, Hao Chen +1
Insertion-deletion codes (insdel codes for short) are used for correcting synchronization errors in communications, and in other many interesting fields such as DNA storage, date a…
The -ary antiprimitive BCH codes
Hongwei Zhu, Minjia Shi, Xiaoqiang Wang +1
It is well-known that cyclic codes have efficient encoding and decoding algorithms. In recent years, antiprimitive BCH codes have attracted a lot of attention. The objective of thi…
Several classes of PcN power functions over finite fields
Xiaoqiang Wang, Dabin Zheng
Recently, a new concept called multiplicative differential cryptanalysis and the corresponding -differential uniformity were introduced by Ellingsen et al.~\cite{Ellingsen2020},…
Some punctured codes of several families of binary linear codes
Xiaoqiang Wang, Dabin Zheng, Cunsheng Ding
Two general constructions of linear codes with functions over finite fields have been extensively studied in the literature. The first one is given by $\mathcal{C}(f)=\left\{ {\rm…
Subfield codes of linear codes from perfect nonlinear functions and their duals
Dabin Zheng, Xiaoqiang Wang, Yayao Li +1
Let be a finite field with elements, where is an odd prime and is a positive integer. Recently, \cite{Hengar} and \cite{Wang2020} determined the we…
Binary linear codes with few weights from Boolean functions
Xiaoqiang Wang, Dabin Zheng, Yan Zhang
Boolean functions have very nice applications in cryptography and coding theory, which have led to a lot of research focusing on their applications. The objective of this paper is…
A class of two or three weights linear codes and their complete weight enumerators
Dabin Zheng, Qing Zhao, Xiaoqiang Wang +1
In the past few years, linear codes with few weights and their weight analysis have been widely studied. In this paper, we further investigate a class of two-weight or three-weight…
Two classes of -ary linear codes and their duals
Xiaoqiang Wang, Dabin Zheng, Yan Zhang
Let be the finite field of order , where is an odd prime and is a positive integer. In this paper, we investigate a class of subfield codes of linea…